The following regression output was obtained from a study of architectural firms. The dependent variable is the total amount of fees in millions of dollars.

Predictor	Coefficient	SE Coefficient	t	p-value
Constant		8.167			3.229			2.529			0.010
x1		0.239			0.185			1.292			0.000
x2		1.118			0.531			2.105			0.028
x3		0.134			0.257			0.521			0.114
x4		0.643			0.381			1.688			0.001
x5		0.028			0.023			1.217			0.112

Analysis of Variance
Source	DF	SS	MS	F	p-value
Regression	5		2,369.12		473.8		10.89		0.000
Residual Error	58		2,523.37		43.51
Total	63		4,892.49

x₁is the number of architects employed by the company. x₂is the number of engineers employed by the company. x₃is the number of years involved with health care projects. x₄is the number of states in which the firm operates. x₅is the percent of the firm's work that is health carerelated. a.Write out the regression equation.(Negative answers should be indicated by a minus sign. Round your answers to 3 decimal places.)

b.How large is the sample? How many independent variables are there?

c-1.At the 0.05 significance level, state the decision rule to test:H₀: ₁= ₂= ₃=₄= ₅= 0;H₁: At least one is not 0.(Round your answer to 2 decimal places.)

c-2.Compute the value of theFstatistic.(Round your answer to 2 decimal places.)

c-3.What is the decision regardingH₀: ₁= ₂= ₃= ₄= ₅= 0?

d-1.State the decision rule for each independent variable. Use the 0.05 significance level.(Round your answers to 3 decimal places.)

Forx1		Forx2		Forx3		Forx4		Forx5
H0: 1= 0		H0: 2= 0		H0: 3= 0		H0: 4= 0		H0: 5= 0
H1: 1 0		H1: 2 0		H1: 3 0		H1: 4 0		H1: 5 0

d-2.Compute the value of the test statistic.(Negative answers should be indicated by a minus sign. Round your answers to 3 decimal places.)

d-3.For each variable, make a decision about the hypothesis that the coefficient is equal to zero.